A mathematical model on thermally induced vibration of tapered rectangular plate
A theoretical mathematical model on vibration of rectangular plate is discussed. In this study, the vibration of the bi-parabolic tapered rectangular plate is analyzed under two different boundary conditions i.e. clamped (C-C-C-C) and simply supported (SS-SS-SS-SS). Also, the author considered bi-pa...
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| Format: | Article |
| Language: | English |
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Széchenyi István University
2025-03-01
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| Series: | Acta Technica Jaurinensis |
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| Online Access: | https://acta.sze.hu/index.php/acta/article/view/767 |
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| author | Narinder Kaur Anupam Khanna |
| author_facet | Narinder Kaur Anupam Khanna |
| author_sort | Narinder Kaur |
| collection | DOAJ |
| description | A theoretical mathematical model on vibration of rectangular plate is discussed. In this study, the vibration of the bi-parabolic tapered rectangular plate is analyzed under two different boundary conditions i.e. clamped (C-C-C-C) and simply supported (SS-SS-SS-SS). Also, the author considered bi-parabolic variation in the temperature field which occurs due to thermally induced vibration in rectangular plate. Results of frequency for the first two modes of vibration are obtained by using Rayleigh-Ritz method. Variations in frequency for first two modes of vibration at different values of structural parameters (thermal gradient, taper constants, and aspect ratio) and boundary conditions are well explained with the help of graphs. |
| format | Article |
| id | doaj-art-947506961e6f4056b6a3548c0e09d0c1 |
| institution | DOAJ |
| issn | 2064-5228 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Széchenyi István University |
| record_format | Article |
| series | Acta Technica Jaurinensis |
| spelling | doaj-art-947506961e6f4056b6a3548c0e09d0c12025-08-20T03:05:46ZengSzéchenyi István UniversityActa Technica Jaurinensis2064-52282025-03-01182737910.14513/actatechjaur.00767695A mathematical model on thermally induced vibration of tapered rectangular plateNarinder Kaur0Anupam Khanna1Department of Mathematics, Statistics and Physics, Punjab Agricultural University, Ludhiana, IndiaDepartment of Mathematics, D.A.V. College, Sadhaura, Yamunanagar, Haryana, IndiaA theoretical mathematical model on vibration of rectangular plate is discussed. In this study, the vibration of the bi-parabolic tapered rectangular plate is analyzed under two different boundary conditions i.e. clamped (C-C-C-C) and simply supported (SS-SS-SS-SS). Also, the author considered bi-parabolic variation in the temperature field which occurs due to thermally induced vibration in rectangular plate. Results of frequency for the first two modes of vibration are obtained by using Rayleigh-Ritz method. Variations in frequency for first two modes of vibration at different values of structural parameters (thermal gradient, taper constants, and aspect ratio) and boundary conditions are well explained with the help of graphs.https://acta.sze.hu/index.php/acta/article/view/767vibrationtaperedthermal gradientfrequencystructural parametersaspect ratio |
| spellingShingle | Narinder Kaur Anupam Khanna A mathematical model on thermally induced vibration of tapered rectangular plate Acta Technica Jaurinensis vibration tapered thermal gradient frequency structural parameters aspect ratio |
| title | A mathematical model on thermally induced vibration of tapered rectangular plate |
| title_full | A mathematical model on thermally induced vibration of tapered rectangular plate |
| title_fullStr | A mathematical model on thermally induced vibration of tapered rectangular plate |
| title_full_unstemmed | A mathematical model on thermally induced vibration of tapered rectangular plate |
| title_short | A mathematical model on thermally induced vibration of tapered rectangular plate |
| title_sort | mathematical model on thermally induced vibration of tapered rectangular plate |
| topic | vibration tapered thermal gradient frequency structural parameters aspect ratio |
| url | https://acta.sze.hu/index.php/acta/article/view/767 |
| work_keys_str_mv | AT narinderkaur amathematicalmodelonthermallyinducedvibrationoftaperedrectangularplate AT anupamkhanna amathematicalmodelonthermallyinducedvibrationoftaperedrectangularplate AT narinderkaur mathematicalmodelonthermallyinducedvibrationoftaperedrectangularplate AT anupamkhanna mathematicalmodelonthermallyinducedvibrationoftaperedrectangularplate |